The structure of nonlinear blending models

✍ Scribed by Michael Rusin

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 674 KB
• Volume: 30
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(75)80060-1

✦ Synopsis

Most empirically defined properties such as octane numbers blend non-linearly. That is, when measured properties of the components are combined in proportion to their amounts in the blend, the results can differ substantially from measured blend properties.

Physical blending obeys certain common-sense rules of behavior. An example is that the order of mixing does not affect the properties of the result. Procedures for calculating blend properties, in order to reflect physical behavior, must therefore observe these same rules.

This paper shows that all procedures obeying these rules must be of a certain form which can be thought of as consisting of three steps. In the first step component properties are "transformed" according to a tixed rule. In the second step transformed component properties are blended linearly. In the third step the same fixed rule (or its inverse) is applied to the results of the second step to give estimated blend properties.